Starting from rest, a 64.0 kg woman jumps down to the floor from a height of 0.610 m, and immediately jumps back up into the air. While she is in contact with the ground during the time interval  0 < t < 0.800 s,  the force she exerts on the floor can be modeled using the function F = 9,200t − 11,500t2 where F is in newtons and t is in seconds.   c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.) d) To what height (in m) did she jump upon leaving the floor?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: The Laws Of Motion
Section4.4: Newton’s Second Law
Problem 4.3QQ: You push an object, initially at rest, across a frictionless floor with a constant force for a time...
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Starting from rest, a 64.0 kg woman jumps down to the floor from a height of 0.610 m, and immediately jumps back up into the air. While she is in contact with the ground during the time interval 
0 < t < 0.800 s,
 the force she exerts on the floor can be modeled using the function
F = 9,200t − 11,500t2
where F is in newtons and t is in seconds.
 
c) With what speed (in m/s) did she leave it? (Round your answer to at least three significant figures.)
d) To what height (in m) did she jump upon leaving the floor?
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